Answer:
216 x 16
Explanation:
Given
Simplify into prime factors.
- (2 x 3)³ x (2²)²
- 2³ x 3³ x 2⁴
- 2⁷ x 3³
- 128 x 27
- 3456
Now, for it to be equivalent, on dividing 3456 by the product of the expression, the quotient should be 1.
Evaluating the options
18 x 8
- 3456 ÷ (18 x 8)
- 3456 ÷ 144
- 24
- Incorrect
216 x 16
- 3456 ÷ (216 x 16)
- 3456 ÷ 3456
- 1
- Correct
24⁶
- 3456 ÷ 24⁶
- 3456 ÷ 191102976
- Answer will be less than 1, so this isn't it
- Incorrect
(6 x 4)⁵
- 3456 ÷ (6 x 4)⁵
- 3456 ÷ (24)⁵
- 3456 ÷ 7962624
- Here also the quotient will be less than 1
- Incorrect
216 x 16 is the correct answer